Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

24th April 2021

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Rearranging Harder Formulae3 marks
Make x the subject of 6x + 2 = y(x + 2).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 12. Work out the positive value of x when y = 243.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 11 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
4
Conditional Probability3 marks
A bag holds 5 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
5
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 10 units wide with density 0.8. How many values in total?

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